Finding the Third Proportional to 189,366 and 282,406.50

Step by Step Solution

1. Step 1: Write the proportion equation
   189,366 : 282,406.50 = 282,406.50 : x
2. Step 2: Convert to fraction form
   189,366/282,406.50 = 282,406.50/x
3. Step 3: Cross multiply
   189,366x = 282,406.50 × 282,406.50
4. Step 4: Simplify right side
   189,366x = 79,753,431,242.25
5. Step 5: Solve for x
   x = 79,753,431,242.25/189,366
6. Step 6: Final answer
   x = 421,160.25